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Bernoulli Hyperplane Percolation

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 نشر من قبل Marco Aymone M. Aymone
 تاريخ النشر 2020
  مجال البحث
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We study a dependent site percolation model on the $n$-dimensional Euclidean lattice where, instead of single sites, entire hyperplanes are removed independently at random. We extend the results about Bernoulli line percolation showing that the model undergoes a non-trivial phase transition and proving the existence of a transition from exponential to power-law decay within some regions of the subcritical phase.

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